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Finding the Third Proportional to 290,330 and 444,139

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Solution

The third proportional to 290,330 and 444,139 is: 679,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,330 : 444,139 = 444,139 : x
  2. Step 2: Convert to fraction form
    290,330/444,139 = 444,139/x
  3. Step 3: Cross multiply
    290,330x = 444,139 × 444,139
  4. Step 4: Simplify right side
    290,330x = 197,259,451,321
  5. Step 5: Solve for x
    x = 197,259,451,321/290,330
  6. Step 6: Final answer
    x = 679,431.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.